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<a href="_multi_objective_benchmark_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span><span class="comment">//===========================================================================</span><span class="comment"></span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span><span class="comment">/*!</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span><span class="comment"> * </span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="comment"> *</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span><span class="comment"> * \author     Oswin Krause</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="comment"> * \date        2016</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="comment"> *</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="comment"> *</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span><span class="comment"> * \par Copyright 1995-2017 Shark Development Team</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno">   10</span><span class="comment"> * </span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span><span class="comment"> * &lt;BR&gt;&lt;HR&gt;</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span><span class="comment"> * This file is part of Shark.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span><span class="comment"> * &lt;https://shark-ml.github.io/Shark/&gt;</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span><span class="comment"> * </span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span><span class="comment"> * Shark is free software: you can redistribute it and/or modify</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span><span class="comment"> * it under the terms of the GNU Lesser General Public License as published </span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span><span class="comment"> * by the Free Software Foundation, either version 3 of the License, or</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span><span class="comment"> * (at your option) any later version.</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span><span class="comment"> * </span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span><span class="comment"> * Shark is distributed in the hope that it will be useful,</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span><span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span><span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span><span class="comment"> * GNU Lesser General Public License for more details.</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span><span class="comment"> * </span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span><span class="comment"> * You should have received a copy of the GNU Lesser General Public License</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span><span class="comment"> * along with Shark.  If not, see &lt;http://www.gnu.org/licenses/&gt;.</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="comment"> *</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="comment"> */</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="comment">//===========================================================================</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="preprocessor">#ifndef SHARK_OBJECTIVEFUNCTIONS_BENCHMARK_MULTIOBJECTIVEBENCHMARK_H</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="preprocessor">#define SHARK_OBJECTIVEFUNCTIONS_BENCHMARK_MULTIOBJECTIVEBENCHMARK_H</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span><span class="preprocessor">#include &lt;<a class="code" href="_abstract_objective_function_8h.html" title="AbstractObjectiveFunction.">shark/ObjectiveFunctions/AbstractObjectiveFunction.h</a>&gt;</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span><span class="preprocessor">#include &lt;<a class="code" href="_rotated_error_function_8h.html">shark/ObjectiveFunctions/Benchmarks/RotatedErrorFunction.h</a>&gt;</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="preprocessor">#include &lt;<a class="code" href="_box_constraint_handler_8h.html">shark/ObjectiveFunctions/BoxConstraintHandler.h</a>&gt;</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span><span class="preprocessor">#include &lt;<a class="code" href="_random_8h.html">shark/Core/Random.h</a>&gt;</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span><span class="preprocessor">#include &lt;<a class="code" href="rotations_8h.html">shark/LinAlg/rotations.h</a>&gt;</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span><span class="preprocessor">#include &lt;tuple&gt;</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span> </div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceshark.html" title="AbstractMultiObjectiveOptimizer.">shark</a> {<span class="keyword">namespace </span>benchmarks{</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="keyword">namespace </span>detail{</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span>    <span class="comment">//taken from the web. implements an std::integer_sequence type representing a sequence 0,...,N-1, std::integer_sequence is not here until C++14</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span>...&gt; <span class="keyword">struct </span>integer_sequence { <span class="keyword">using </span>type = integer_sequence; };</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt; <span class="keyword">struct </span>integer_sequence_concat;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span>... I1, <span class="keywordtype">int</span>... I2&gt; <span class="keyword">struct </span>integer_sequence_concat&lt;integer_sequence&lt;I1...&gt;, integer_sequence&lt;I2...&gt;&gt;: integer_sequence&lt;I1..., (sizeof...(I1) + I2)...&gt; {};</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>    <span class="comment">//generate_integer_sequence generates an integer sequence of integers 0....N. requires log(N) template instantiations</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt; <span class="keyword">struct </span>generate_integer_sequence;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt; <span class="keyword">struct </span>generate_integer_sequence: integer_sequence_concat&lt;typename generate_integer_sequence&lt;N/2&gt;::type, typename generate_integer_sequence&lt;N-N/2&gt;::type&gt;::type {};</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>    <span class="keyword">template</span> &lt;&gt; <span class="keyword">struct </span>generate_integer_sequence&lt;0&gt;: integer_sequence&lt;&gt;{};</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span>    <span class="keyword">template</span> &lt;&gt; <span class="keyword">struct </span>generate_integer_sequence&lt;1&gt;: integer_sequence&lt;0&gt;{};</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>};</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span><span class="comment"></span> </div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span><span class="comment">/// \brief Creates  a multi-objective Benchmark from a set of given single objective functions</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span><span class="comment">///</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span><span class="comment">/// A variadic template is used to generate a set of benchmarks.</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span><span class="comment">/// eg MultiObjectiveBenchmark&lt;Sphere,Ellispoid,Rosenbrock&gt; sets up a three-objective Benchmark.</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span><span class="comment">///</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span><span class="comment">/// A random rotation and translation is applied to each benchmark function, thus</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span><span class="comment">/// MultiObjectiveBenchmark&lt;Sphere,Sphere&gt; forms a non-degenerate front.</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span><span class="comment">/// the k-th objective can be queried via the get&lt;k&gt; member function.</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span><span class="comment">///</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span><span class="comment">/// The generated translations are approximately sampled from the unit ball and starting points are also drawn</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span><span class="comment">/// by the same distribution around a random optimum (assuming the optimum is at (0,0) of the untranslated function</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span><span class="comment">///</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span><span class="comment">/// Note that all objectives must have scalable dimensionality</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span><span class="comment">/// \ingroup benchmarks</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class </span>... Objectives&gt;</div>
<div class="foldopen" id="foldopen00071" data-start="{" data-end="};">
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html">   71</a></span><span class="keyword">class </span><a class="code hl_class" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html" title="Creates a multi-objective Benchmark from a set of given single objective functions.">MultiObjectiveBenchmark</a>: <span class="keyword">public</span> <a class="code hl_class" href="classshark_1_1_abstract_objective_function.html" title="Super class of all objective functions for optimization and learning.">MultiObjectiveFunction</a>{</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span><span class="keyword">public</span>:</div>
<div class="foldopen" id="foldopen00073" data-start="{" data-end="}">
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a39645b08e34005008946482748022d64">   73</a></span>    <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a39645b08e34005008946482748022d64">MultiObjectiveBenchmark</a>(std::size_t numVariables = 5){</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span>        <a class="code hl_variable" href="classshark_1_1_abstract_objective_function.html#ad8888c58fd3f98e73013afb5dd4b2af1">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_objective_function.html#aadafeb6dfb5b649f321e7b81ac8aad1aab9262b57bb302f04b2561666a9068446" title="The function can propose a sensible starting point to search algorithms.">CAN_PROPOSE_STARTING_POINT</a>;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>        <a class="code hl_variable" href="classshark_1_1_abstract_objective_function.html#ad8888c58fd3f98e73013afb5dd4b2af1">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_objective_function.html#aadafeb6dfb5b649f321e7b81ac8aad1aa0bc7673a369df5f86ddd6ba6735f4971" title="The method evalDerivative is implemented for the first derivative and returns a sensible value.">HAS_FIRST_DERIVATIVE</a>;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>        setupRotations(<span class="keyword">typename</span> detail::generate_integer_sequence&lt;<span class="keyword">sizeof</span>...(Objectives)&gt;::type());</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>        <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a77e1305d6328c831bf14df61c37cb648" title="Adjusts the number of variables if the function is scalable.">setNumberOfVariables</a>(numVariables);<span class="comment">//prevent that different objectives have different default number of variables.</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>        <span class="keywordflow">for</span>(<span class="keyword">auto</span>&amp; f: m_rotations){</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>            <span class="comment">//if one function does not have a first derivative, no function has</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>            <span class="keywordflow">if</span>(!f.hasFirstDerivative())</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>                <a class="code hl_variable" href="classshark_1_1_abstract_objective_function.html#ad8888c58fd3f98e73013afb5dd4b2af1">m_features</a>.<a class="code hl_function" href="classshark_1_1_typed_flags.html#a68f0c572adf112b680ef11531aa9ffb8">reset</a>(<a class="code hl_enumvalue" href="classshark_1_1_abstract_objective_function.html#aadafeb6dfb5b649f321e7b81ac8aad1aa0bc7673a369df5f86ddd6ba6735f4971" title="The method evalDerivative is implemented for the first derivative and returns a sensible value.">HAS_FIRST_DERIVATIVE</a>);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span>        }</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>    };</div>
</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>    <span class="comment"></span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span><span class="comment">    ///\brief Name of the Benchmark</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span><span class="comment">    ///</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span><span class="comment">    /// The name has the form Objective1/Objective2/Objective3/.../ObjectiveN</span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span><span class="comment">    /// where ObjectiveK is the name of the k-th objective.</span></div>
<div class="foldopen" id="foldopen00089" data-start="{" data-end="}">
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#afefbd87f70a57cab4df4868102a71e74">   89</a></span><span class="comment"></span>    std::string <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#afefbd87f70a57cab4df4868102a71e74" title="Name of the Benchmark.">name</a>()<span class="keyword">const</span>{</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span>        <span class="keywordflow">return</span> generateName(<span class="keyword">typename</span> detail::generate_integer_sequence&lt;<span class="keyword">sizeof</span>...(Objectives)&gt;::type());</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span>        </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span>    }</div>
</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span>    </div>
<div class="foldopen" id="foldopen00094" data-start="{" data-end="}">
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a6189640d3576bf04b9dea6e734ae3f6b">   94</a></span>    <span class="keywordtype">bool</span> <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a6189640d3576bf04b9dea6e734ae3f6b">hasScalableDimensionality</a>()<span class="keyword">const</span>{</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>    }</div>
</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>    </div>
<div class="foldopen" id="foldopen00098" data-start="{" data-end="}">
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a77e1305d6328c831bf14df61c37cb648">   98</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a77e1305d6328c831bf14df61c37cb648" title="Adjusts the number of variables if the function is scalable.">setNumberOfVariables</a>( std::size_t <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a4ac98eb92c0a0697790806a9c5acc359" title="Accesses the number of variables.">numberOfVariables</a> ){</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>        <span class="keywordflow">for</span>(<span class="keyword">auto</span>&amp; f: m_rotations){</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>            <a class="code hl_define" href="_exception_8h.html#adce1f80097c69010f5eab2618fa2e971">SHARK_RUNTIME_CHECK</a>(f.hasScalableDimensionality(),<span class="stringliteral">&quot;Function is not scalable&quot;</span>);</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>            f.setNumberOfVariables(<a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a4ac98eb92c0a0697790806a9c5acc359" title="Accesses the number of variables.">numberOfVariables</a>);</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>        }</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>    }</div>
</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>    </div>
<div class="foldopen" id="foldopen00105" data-start="{" data-end="}">
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a6a4d8531d457d155aea8258cd2747e51">  105</a></span>    std::size_t <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a6a4d8531d457d155aea8258cd2747e51">numberOfObjectives</a>()<span class="keyword">const</span>{</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>        <span class="keywordflow">return</span> <span class="keyword">sizeof</span>...(Objectives);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>    }</div>
</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>    </div>
<div class="foldopen" id="foldopen00109" data-start="{" data-end="}">
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a4ac98eb92c0a0697790806a9c5acc359">  109</a></span>    std::size_t <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a4ac98eb92c0a0697790806a9c5acc359" title="Accesses the number of variables.">numberOfVariables</a>()<span class="keyword">const</span>{</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>        <span class="keywordflow">return</span> get&lt;0&gt;().numberOfVariables();</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>    }</div>
</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>    </div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="foldopen" id="foldopen00114" data-start="{" data-end="}">
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a12b46f3164e3445aff1cd12b62b2c2cf">  114</a></span>    <span class="keyword">typename</span> std::tuple_element&lt;N, std::tuple&lt;Objectives...&gt; &gt;::type&amp; <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a12b46f3164e3445aff1cd12b62b2c2cf">get</a>(){</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>        <span class="keywordflow">return</span> std::get&lt;N&gt;(m_objectives);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>    }</div>
</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="foldopen" id="foldopen00118" data-start="{" data-end="}">
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a963fa52455728653a94fa582c9431ef8">  118</a></span>    <span class="keyword">typename</span> std::tuple_element&lt;N, std::tuple&lt;Objectives...&gt; &gt;::type <span class="keyword">const</span>&amp; <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a963fa52455728653a94fa582c9431ef8">get</a>()<span class="keyword">const</span>{</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>        <span class="keywordflow">return</span> std::get&lt;N&gt;(m_objectives);</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>    }</div>
</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>    <span class="comment"></span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span><span class="comment">    ///\ Initializes the functions as well as picks random rotations and translations</span></div>
<div class="foldopen" id="foldopen00123" data-start="{" data-end="}">
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a542adb82f194ccc98c4f63b27fe2b5d1">  123</a></span><span class="comment"></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a542adb82f194ccc98c4f63b27fe2b5d1" title="\ Initializes the functions as well as picks random rotations and translations">init</a>() {</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>        m_translations.clear();</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>        </div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>        <span class="keywordflow">for</span>(<span class="keyword">auto</span>&amp; f: m_rotations)</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>        {</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>            RealVector translation(<a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a4ac98eb92c0a0697790806a9c5acc359" title="Accesses the number of variables.">numberOfVariables</a>());</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>            <span class="keywordflow">for</span>(<span class="keywordtype">double</span>&amp; v: translation){</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>                v=<a class="code hl_function" href="namespaceshark_1_1random.html#a972c5f7f031612a130aa077fc9136a9f" title="Draws a number from the normal distribution with given mean and variance by drawing random numbers fr...">random::gauss</a>(*<a class="code hl_variable" href="classshark_1_1_abstract_objective_function.html#a6a27bddca6060f7861c49b05f8ec8435">mep_rng</a>, 0,1)/std::sqrt(<span class="keywordtype">double</span>(<a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a4ac98eb92c0a0697790806a9c5acc359" title="Accesses the number of variables.">numberOfVariables</a>()));</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>            }</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>            m_translations.push_back(translation);</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>            f.setRng(<a class="code hl_variable" href="classshark_1_1_abstract_objective_function.html#a6a27bddca6060f7861c49b05f8ec8435">mep_rng</a>);</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>            f.init();</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>        }</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>    }</div>
</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>    </div>
<div class="foldopen" id="foldopen00138" data-start="{" data-end="}">
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a85f5750d889d29fd9cffaa3406a8a166">  138</a></span>    <a class="code hl_typedef" href="classshark_1_1_abstract_objective_function.html#a59bfea031628e16737c66e7117eba7b5">SearchPointType</a> <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a85f5750d889d29fd9cffaa3406a8a166" title="Proposes a starting point in the feasible search space of the function.">proposeStartingPoint</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>        RealVector x(<a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a4ac98eb92c0a0697790806a9c5acc359" title="Accesses the number of variables.">numberOfVariables</a>());</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span> </div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>        std::size_t index = <a class="code hl_function" href="namespaceshark_1_1random.html#aa64d4174eaf7111b03e0504eaa56b666" title="Draws a discrete number in {low,low+1,...,high} by drawing random numbers from rng.">random::discrete</a>(0,m_rotations.size()-1);</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>        <span class="keywordflow">for</span> (std::size_t i = 0; i &lt; x.size(); i++) {</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>            x(i) = m_translations[index](i)+<a class="code hl_function" href="namespaceshark_1_1random.html#a972c5f7f031612a130aa077fc9136a9f" title="Draws a number from the normal distribution with given mean and variance by drawing random numbers fr...">random::gauss</a>(*<a class="code hl_variable" href="classshark_1_1_abstract_objective_function.html#a6a27bddca6060f7861c49b05f8ec8435">mep_rng</a>, 0,1)/std::sqrt(<span class="keywordtype">double</span>(<a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a4ac98eb92c0a0697790806a9c5acc359" title="Accesses the number of variables.">numberOfVariables</a>()));</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>        }</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>        <span class="keywordflow">return</span> x;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>    }</div>
</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>    <span class="comment"></span></div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span><span class="comment">    /// Returns the vector (f_1(x),...,f_N(x)) of the N objectives in the benchmark for the current point.</span></div>
<div class="foldopen" id="foldopen00149" data-start="{" data-end="}">
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#abf89308463d5531a8e131c106abed7fe">  149</a></span><span class="comment"></span>    <a class="code hl_typedef" href="classshark_1_1_abstract_objective_function.html#a70f0672a3c3b24c437c81243624b5307">ResultType</a> <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#abf89308463d5531a8e131c106abed7fe" title="Returns the vector (f_1(x),...,f_N(x)) of the N objectives in the benchmark for the current point.">eval</a>( <a class="code hl_typedef" href="classshark_1_1_abstract_objective_function.html#a59bfea031628e16737c66e7117eba7b5">SearchPointType</a> <span class="keyword">const</span>&amp; x )<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>        <a class="code hl_variable" href="classshark_1_1_abstract_objective_function.html#af0942c072be06d0dd4da5ee7067c5777" title="Evaluation counter, default value: 0.">m_evaluationCounter</a>++;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span> </div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>        <a class="code hl_typedef" href="classshark_1_1_abstract_objective_function.html#a70f0672a3c3b24c437c81243624b5307">ResultType</a> value( <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a6a4d8531d457d155aea8258cd2747e51">numberOfObjectives</a>() );</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>        <span class="keywordflow">for</span>(std::size_t  i = 0; i != value.size(); ++i){</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>            value(i) = m_rotations[i].eval( x - m_translations[i]);</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>        }</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>        <span class="keywordflow">return</span> value;</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>    }<span class="comment"></span></div>
</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span><span class="comment">    /// Calculates function value as well as the the Jacobian( d/dxf_1(x),...,d/dx f_N(x)) of the N objectives in the benchmark for the current point.</span></div>
<div class="foldopen" id="foldopen00159" data-start="{" data-end="}">
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"><a class="line" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a99fc595131c5c87ae6d73377c1b4368a">  159</a></span><span class="comment"></span>    <a class="code hl_typedef" href="classshark_1_1_abstract_objective_function.html#a70f0672a3c3b24c437c81243624b5307">ResultType</a> <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a99fc595131c5c87ae6d73377c1b4368a" title="Calculates function value as well as the the Jacobian( d/dxf_1(x),...,d/dx f_N(x)) of the N objective...">evalDerivative</a>( <a class="code hl_typedef" href="classshark_1_1_abstract_objective_function.html#a59bfea031628e16737c66e7117eba7b5">SearchPointType</a> <span class="keyword">const</span>&amp; x, <a class="code hl_typedef" href="classshark_1_1_abstract_objective_function.html#a29804371954a360f09696adea7cfd839">FirstOrderDerivative</a>&amp; derivative )<span class="keyword">const </span>{</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>        derivative.resize(<a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a6a4d8531d457d155aea8258cd2747e51">numberOfObjectives</a>(), <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a4ac98eb92c0a0697790806a9c5acc359" title="Accesses the number of variables.">numberOfVariables</a>());</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span>        RealVector singleDerivative;</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>        RealVector value(<a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#a6a4d8531d457d155aea8258cd2747e51">numberOfObjectives</a>());</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>        <span class="keywordflow">for</span>(std::size_t  i = 0; i != value.size(); ++i){</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>            value(i) = m_rotations[i].evalDerivative( x - m_translations[i],singleDerivative);</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>            noalias(row(derivative,i)) = singleDerivative;</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>        }</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span>        </div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>        <span class="keywordflow">return</span> value;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>    }</div>
</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span><span class="keyword">private</span>:</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>    <span class="comment">//generate a rotated objective function for each function in the m_objectives tuple</span></div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> ... I&gt;</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>    <span class="keywordtype">void</span> setupRotations(detail::integer_sequence&lt;I...&gt;){</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>        m_rotations.insert(m_rotations.begin(), {RotatedObjectiveFunction(&amp;std::get&lt;I&gt;(m_objectives))... });</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>    }</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>    </div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> ... I&gt;</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>    std::string generateName(detail::integer_sequence&lt;I...&gt;)<span class="keyword">const</span>{</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>        std::string <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#afefbd87f70a57cab4df4868102a71e74" title="Name of the Benchmark.">name</a>;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>        <span class="keywordflow">for</span>(<span class="keyword">auto</span> <span class="keyword">const</span>&amp; fname:{std::get&lt;I&gt;(m_objectives).name()... }){</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>            <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#afefbd87f70a57cab4df4868102a71e74" title="Name of the Benchmark.">name</a>+=fname+<span class="charliteral">&#39;/&#39;</span>;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>        }</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>        <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#afefbd87f70a57cab4df4868102a71e74" title="Name of the Benchmark.">name</a>.pop_back();</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>        <span class="keywordflow">return</span> <a class="code hl_function" href="classshark_1_1benchmarks_1_1_multi_objective_benchmark.html#afefbd87f70a57cab4df4868102a71e74" title="Name of the Benchmark.">name</a>;</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>    }</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>    </div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>    std::tuple&lt;Objectives...&gt; m_objectives;</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>    std::vector&lt;RotatedObjectiveFunction&gt; m_rotations;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>    std::vector&lt;RealVector&gt; m_translations;</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>};</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span> </div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span> </div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>}}</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span><span class="preprocessor">#endif</span></div>
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